====回归的矩阵表达形式==== ==== The matrix expression of the regression ==== *** 1.公式** * {{:回归矩阵表达式.png?200 |}} {{:回归矩阵表达式_分解_.png?400 |}} ---- *** 2.矩阵运算的复习** * **加减法**:对应行列坐标的值加减 * **乘法**:假设有维数有n × m 的矩阵X,以及维度为l × k的矩阵Y,则 * (1)当 m = l 时,矩阵X乘以矩阵Y才是可行的,结果矩阵XY才存在; * (2)当 k = n 时,矩阵Y乘以矩阵X才是可行的,结果矩阵YX才存在。 * 公式: * {{:矩阵乘法公式.png?100 |}} * * **转置**:对应的行列互换。 ---- *** 1.Formulas** * {{:回归矩阵表达式.png?200 |}} {{:回归矩阵表达式_分解_.png?400 |}} ---- *** 2.Review of matrix operations** * **Addition and subtraction**:Add or subtract the values of the corresponding row and column coordinates * **Subtraction**:Suppose that there are matrices X with dimensions n × m, and matrices Y with dimensions l × k, then * (1)Only when m = l is it feasible to multiply matrix X by matrix Y, and the resultant matrix XY exists; * (2)Only when k = n is it feasible to multiply matrix Y by matrix X, and the resultant matrix YX exists. * Formulas: * {{:矩阵乘法公式.png?100 |}} * * **Matrix transposition**:Interchange of corresponding rows and columns.